5144446944 has 384 divisors, whose sum is σ = 18797184000. Its totient is φ = 1332578304.

The previous prime is 5144446919. The next prime is 5144446963. The reversal of 5144446944 is 4496444415.

It is a happy number.

5144446944 is a `hidden beast` number, since 5 + 144 + 4 + 469 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5144446944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4638262 + ... + 4639370.

It is an arithmetic number, because the mean of its divisors is an integer number (48951000).

Almost surely, 2^5144446944 is an apocalyptic number.

5144446944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144446944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398592000).

5144446944 is an abundant number, since it is smaller than the sum of its proper divisors (13652737056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5144446944 is a wasteful number, since it uses less digits than its factorization.

5144446944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1193 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 5144446944 is about 71724.8000624610. The cubic root of 5144446944 is about 1726.2865925184.

The spelling of 5144446944 in words is "five billion, one hundred forty-four million, four hundred forty-six thousand, nine hundred forty-four".